A wobble plate type compressor (1) with a variable displacement mechanism includes a compressor housing (3) which is proveded with a crank chamber (32) and a cylinder block (31) in which a plurality of cylinders (33) are formed. A front end plate (2) is fixed on one end surface of the compressor housing (3). A cylinder head (5) which is provided with a suction chamber (52) and a discharge chamber (53) is fixed on the other end surface thereof. A drive shaft (7) is rotatably supported in the housing (3) and one end of the drive shaft (7) is rotatably supported in a central bore (35) in the cylinder block (31). A rotor (9) is fixed on the drive shaft (7) and is variably connected to an inclined plate (11) through a hinge mechanism. A wobble plate (13) is adjacent to the inclined plate (11) and converts rotary motion of the inclined plate (11) into nutating motion thereof. A plurality of pistons (19) are coupled with the wobble plate (13) through a plurality of connecting rods (18) each of which is reciprocably fitted within a respective one of the cylinders (33) and of which the stroke volume is changed in accordance with variation of the angle of the inclined plate (11). A control valve (60) controls the communication between the crank chamber (32) and the suction chamber (52) through a conduit. The control valve is disposed in the central bore (35). Therefore, the compressor can be easily assembled since the outer shape of the compressor housing is formed cylindrical.